Least Common Multiple of 861 and 867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 861 and 867 the smallest integer that is 248829 that is divisible by both numbers.

Least Common Multiple (LCM) of 861 and 867 is 248829.

LCM(861,867) = 248829

LCM of 861 and 867

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 861 and 867

LCM of 861 and 867 is 248829

Least common multiple can be found by multiplying the highest exponent prime factors of 861 and 867. First we will calculate the prime factors of 861 and 867.

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 861 and 867.

LCM(861,867) = 31×71×172×411
LCM(861,867) = 248829

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Least Common Multiple of 861 and 867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 861 and 867, than apply into the LCM equation.

GCF(861,867) = 3
LCM(861,867) = ( 861 × 867) / 3
LCM(861,867) = 746487 / 3
LCM(861,867) = 248829

Properties of LCM 861 and 867

(i) The LCM of 867 and 861 is associative

LCM of 861 and 867 = LCM of 867 and 861

Related Least Common Multiples of 861

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 861 and 867

1. What is the LCM of 861 and 867?

Answer: LCM of 861 and 867 is 248829.

2. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

3. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

4. How to Find the LCM of 861 and 867?

Answer:

Least Common Multiple of 861 and 867 = 248829

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

Step 2: Find the prime factorization of 867

867 = 3 x 17 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 248829 = 3 x 7 x 17 x 17 x 41

Step 4: Therefore, the least common multiple of 861 and 867 is 248829.